Device-Independent Entanglement Quantification and Related Applications

 Authors: Tobias Moroder, Jean-Daniel Bancal, Yeong-Cherng Liang, Martin Hofmann, Otfried Gühne Phys. Rev. Lett. 111, 030501 (2013) http://dx.doi.org/10.1103/PhysRevLett.111.030501 We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on the observed data only but independent of any quantum description of the employed devices. Some of the bounds we obtain, such as for the Clauser-Horne-Shimony-Holt Bell inequality or the Svetlichny inequality, are shown to be tight. Besides, device-independent entanglement quantification can serve as a basis for numerous tasks. We show in particular that our method provides a rigorous way to construct dimension witnesses, gives new insights into the question whether bound entangled states can violate a Bell inequality, and can be used to construct device-independent entanglement witnesses involving an arbitrary number of parties. moroder2013a.pdf

BibTeX Source

@article{PhysRevLett.111.030501,
title = {Device-Independent Entanglement Quantification and Related Applications},
author = {Moroder, Tobias and Bancal, Jean-Daniel and Liang, Yeong-Cherng and Hofmann, Martin and G\"uhne, Otfried},
journal = {Phys. Rev. Lett.},
volume = {111},
issue = {3},
pages = {030501},
numpages = {5},
year = {2013},
month = {Jul},
doi = {10.1103/PhysRevLett.111.030501},
}